Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 1058154: Sally Sethness assembles stereo equipment for resale in her shop. She offers two products, turntables and cassette players. She makes a profit of $10 on each turntable $6 on each cassette. Both must go through two steps in her shop - assembly and bench checking. A turntable take 12 hours to assemble and 4 hours to bench check. A cassette player take 4 hours assemble and 8 hours to bench check. Looking at this month's schedule, Sally sees that she has 60 assembly hours uncommitted and 40 hours of bench-checking time available. Find her best combinations of turntables and cassette player. What is the total profit on the combination you found?
Click here to see answer by ewatrrr(24785)   |
Question 1058230: Assume that a procedure yields a binomial distribution with n trials and the probability of success for one trial is p. Use the given values of n and p to find the mean u and standard deviation o. Also, use the range rule of thumb to find the minimum usual value u - 2o and the maximum usual value u +2o
n = 1552, p = 1/4
u = 388
o= 17.1 (Round to one decimal place as needed)
u - 2o = 353.8 (Round to one decimal place as needed)
u + 2o = 422.2 (Round to one decimal place as needed)
Click here to see answer by Boreal(15235)  |
Question 1058263: An employer interviews people for computer programming positions in a company, and of the people are men. If all are qualified, in how many ways can the employer fill the computer programming positions if exactly are men?
Click here to see answer by ikleyn(52750)  |
Question 1058276: A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50. Find P60, the score above which separates the lower 60% from the top 40%. Please show work
Click here to see answer by solve_for_x(190) |
Question 1058146: Consider a t distribution with 6 degrees of freedom. Compute P(t ≤ 1.62). Round answer to at least three decimal places.
Find the value of c such that P(-c < t < c) = 0.90 .
Round answer to at least three decimal places.
P(t ≤ 1.62)=
c=
Click here to see answer by Fombitz(32388)  |
Question 1058145: Consider a t distribution with 6 degrees of freedom. Compute P(t ≤ 1.62). Round your answer to at least three decimal places.
Consider a t distribution with 6 degrees of freedom. Find the value of such that P(-c
P(t≤ 1.62)=
c=
Click here to see answer by Fombitz(32388) |
Question 1058331: Question
We have the following data:
y x
6.2 12.3
8 13.7
8.4 14.5
5.3 11.2
7.2 13.2
8.7 14.1
5.7 12
Calculate the following:
1. Means
2. Variances and Standard deviations
3. Correlation coefficient
4. Find the regression(least square)estimator
5. Use the regression to predict Y when x=5
Click here to see answer by Fombitz(32388) |
Question 1058329: Question
During rush periods, accidents happen in Nicosia at a rate of 2 per hour. The morning rush period lasts for 1 hour 30 minutes, and the evening rush period for two hours.
1. What is the probability that there will be no accidents during the morning rush period?
2. What is the probability of 2 accidents during the evening?
3. What is the probability of four or more accidents during the morning?
4. What is the probability that there will be no accidents during both the morning and evening rush period?
Click here to see answer by rothauserc(4718)  |
Question 1058357: Question
A. A survey on the Cypriot market on the mean amount spent per customer for lunch meals at restaurant, data were collected for 25 customers in Nicosia. Assume a sample standard deviation of 3 and a sample of 20.
1. Find the 90% confidence interval.
2. Find the 95% confidence interval.
3. Test that the mean amount spent is larger than 18euros (value from tables=2.131).
B. For the same project data were also collected for 49 customers in Larnaca. They found that they spent on average 18 Euros with standard deviation of 2 Euros.
4. Find the 90% confidence interval.
5. Find the 99% confidence interval.
6. Test that the mean amount spent is indifferent to 15 Euros (value from tables=1.96).
Click here to see answer by Boreal(15235) |
Question 1058361: Sample size of A = 10
Sample mean of A = 29.5
Sample Standard Deviation of A = 0.7
Sample size of B = 9
Sample mean of B = 30.3
Sample Standard Deviation of B = 0.5
Normally distributed random variables.
Let  =0.05
Is the variability of A significantly different from B?
Is the mean of A significantly different from B?
Click here to see answer by Fombitz(32388) |
Question 1058347: widget A = 6
widget B = 10
(Total widgets = 16)
With 6 random samples of the total...
What is the probability that, of the random sample, at least 4 widgets were from B?
Find the probability mass function of the number of widget A of the random sample.
Click here to see answer by Boreal(15235) |
Question 1058376: Assume that a procedure yields a binomial distribution with n trials and the probability of success for one trial is p. Use the given values of n and p to find the mean u and standard deviation o. Also, use the range rule of thumb to find the minimum usual value u - 2o and the maximum usual value u + 2o.
In an analysis of preliminary test results from a gender-selection method, 19 babies are born and it is assumed that 50% of babies are girls, so n = 19 and p = 0.5.
The value of the mean is u= 9.5 (Simplify your answer)
The value of the standard deviation is o= 2.2. (Round to one decimal place as needed)
The minimum usual value is u - 2o= 5.1 (Round to one decimal place as needed)
The maximum usual value is u + 2o= 13.9 (Round to one decimal place as needed)
Click here to see answer by Boreal(15235) |
Question 1058376: Assume that a procedure yields a binomial distribution with n trials and the probability of success for one trial is p. Use the given values of n and p to find the mean u and standard deviation o. Also, use the range rule of thumb to find the minimum usual value u - 2o and the maximum usual value u + 2o.
In an analysis of preliminary test results from a gender-selection method, 19 babies are born and it is assumed that 50% of babies are girls, so n = 19 and p = 0.5.
The value of the mean is u= 9.5 (Simplify your answer)
The value of the standard deviation is o= 2.2. (Round to one decimal place as needed)
The minimum usual value is u - 2o= 5.1 (Round to one decimal place as needed)
The maximum usual value is u + 2o= 13.9 (Round to one decimal place as needed)
Click here to see answer by Fombitz(32388) |
Question 1058353: Question
A company claims that 80% of its trainees are promoted within the first year. Find the probabilities among 8 randomly selected trainees.
1. At least 6 will be promoted.
2. From 5 to 7 will be promoted
3. At most 6 will be promoted.
4. None will be promoted
Question
During rush periods, accidents happen in Nicosia at a rate of 2 per hour. The morning rush period lasts for 1 hour 30 minutes, and the evening rush period for two hours.
1. What is the probability that there will be no accidents during the morning rush period?
2. What is the probability of 2 accidents during the evening?
3. What is the probability of four or more accidents during the morning?
4. What is the probability that there will be no accidents during both the morning and evening rush period?
Question
We have the following data:
y x
6.2 12.3
8 13.7
8.4 14.5
5.3 11.2
7.2 13.2
8.7 14.1
5.7 12
Calculate the following:
1. Means
2. Variances and Standard deviations
3. Correlation coefficient
4. Find the regression(least square)estimator
5. Use the regression to predict Y when x=5
Question
A. We have collected data for the absences of 50 students with days of the week:
Monday Tuesday Wednesday Thursday Friday
Absences 14 7 4 9 16
Test if the absences are equally distributed over all days of the week (critical value=6.251).
B. The following table shows the effect on three types of inhalers that helps people breathing who suffer from asthma.
Type of inhaler
Result A B D
Recovery 25 15 21
No effect 36 10 13
Test whether there is no association between the type of inhaler and the effect (value=7.815).
Question
It has been found that the times taken by people to complete the income tax form follows a Normal distribution with a mean of 100 minutes and a standard deviation of 20 minutes.
Calculate the following probabilities:
1. A person takes 110 minutes or more to complete the form
2. A person takes between 100 and 125 minutes to complete the form
3. A person takes between 75 and 115 minutes to complete the form
4. A person takes less than 120 minutes to complete the form
Question
A company claims that 80% of its trainees are promoted within the first year. Find the probabilities among 8 randomly selected trainees.
1. At least 6 will be promoted.
2. From 5 to 7 will be promoted
3. At most 6 will be promoted.
4. None will be promoted
Question
During rush periods, accidents happen in Nicosia at a rate of 2 per hour. The morning rush period lasts for 1 hour 30 minutes, and the evening rush period for two hours.
1. What is the probability that there will be no accidents during the morning rush period?
2. What is the probability of 2 accidents during the evening?
3. What is the probability of four or more accidents during the morning?
4. What is the probability that there will be no accidents during both the morning and evening rush period?
Question
We have the following data:
y x
6.2 12.3
8 13.7
8.4 14.5
5.3 11.2
7.2 13.2
8.7 14.1
5.7 12
Calculate the following:
1. Means
2. Variances and Standard deviations
3. Correlation coefficient
4. Find the regression(least square)estimator
5. Use the regression to predict Y when x=5
Question
A. We have collected data for the absences of 50 students with days of the week:
Monday Tuesday Wednesday Thursday Friday
Absences 14 7 4 9 16
Test if the absences are equally distributed over all days of the week (critical value=6.251).
B. The following table shows the effect on three types of inhalers that helps people breathing who suffer from asthma.
Type of inhaler
Result A B D
Recovery 25 15 21
No effect 36 10 13
Test whether there is no association between the type of inhaler and the effect (value=7.815).
Click here to see answer by Boreal(15235) |
Question 1058383: Q.1 In the Olympic sport of biathlon, athletes must cross country ski and then shoot a rifle at a small circular target. Two athletes shoot one shot each at the target independently. The probability of each player hitting the centre of the target is 0.55 and 0.65 respectively. What is the probability that at most one of them will hit the centre.
Q.2 In a certain suburb it has been determined that 26% of adults wear contact lenses. Two adults are selected at random from this suburb. Given that at least 1 of these adults wears contact lenses, what is the probability that both of these adults wear contact lenses?
Q.3 A rep hockey team has two goalies. Goalie A has a save percentage of 0.92 and Goalie B has a save percentage of 0.89. If goalie A plays 75 percent of the games and goalie B plays 25 percent of the games then:
a) Determine the probability that a save has been made by either goalie A or goalie B.
b) If a save has been made, what is the probability that is was goalie A?
c) If a goal was let in, what is the probability it was goalie B?
Click here to see answer by Boreal(15235) |
Question 1058405: Q.1 Two cards are drawn from a well shuffled deck of 52 cards
without replacement. Determine the probability of each event:
a) Both cards are spades.
b) The second card is a spade.
c) At least one card is a red card.
d) The first card is a face and the second card is a diamond.
Q.2 One fair black die and one fair white die are rolled. Use
the sample space, shown below, to answer the following Questions:
What is the Probability:-
a) The sum of the two dice is 9?
b) That the sum of the two dice is a least 4?
c) That the Quotient of the two dice is 3?
d) That the white die is three less than the black die?
e) Of getting an odd number on both dice?
g) Of obtaining the same number on each die if it is known that
the sum of the two dice is at most 7?
Q.3 Five cards are dealt from a well-shuffled deck of 52 cards.
What is the Probability that the hand will contain:
a) 2 tens and 3 fives?
b) Exactly 3 twos and two other cards that are not twos?
c) Three of a kind?(three cards the same and the other cards not
the same as the three of a kind and not the same as each other?
Thanks!
Click here to see answer by Edwin McCravy(20054)  |
Question 1058275: Urn 1 contains 1 red and 9 white balls. Urn 2 contains 8 red and 1 white balls. A ball is drawn from urn 1 and placed in urn 2. Then a ball is drawn from urn 2. If the ball from urn is red, what is the probability that the ball drawn from urn 1 is red?
I was able to complete the diagram reflecting the numbers in decimal as shown form the textbook.
However, I don't understand the last 2 parts. The numeric value of the probability of the product from branch probabilities leading from R through R? Do you multiply the top two sections leading form R to R? Which in this case would be 0.3*05?
Also, on the last part to obtain the 2nd number to divide by. The sum of all branch points leading to R?
Click here to see answer by Fombitz(32388) |
Question 1058445: at a carnival, you pay 2.00 pesos to play a coin flipping game with 3 fair coins. on each coin, one side has the number 0 and the other side has the number 1. you flip the 3 coins at one time, and you win 1.00 peso for every 1 that appears on top. in this game, the random variable of interest counts the number of is that show. what is sample space for the values of this random variable?
Click here to see answer by Fombitz(32388) |
Question 1058438: Question
It has been found that the times taken by people to complete the income tax form follows a Normal distribution with a mean of 100 minutes and a standard deviation of 20 minutes.
Calculate the following probabilities:
1. A person takes 110 minutes or more to complete the form
2. A person takes between 100 and 125 minutes to complete the form
3. A person takes between 75 and 115 minutes to complete the form
4. A person takes less than 120 minutes to complete the form
Click here to see answer by Fombitz(32388) |
Question 1058448: at a carnival, you pay 2.00 pesos to play a coin flipping game with 3 fair coins. on each coin, one side has the number 0 and the other side has the number 1. you flip the 3 coins at one time, and you win 1.00 peso for every 1 that appears on top. in this game, the random variable of interest counts the number of is that show. what is sample space for the values of this random variable?
Click here to see answer by Fombitz(32388) |
Question 1058456: Two boxes both have four balls numbered 1, 2, 3, and 4. Tom randomly selects 2 balls from one box at the same time that Harry selects two balls from the other box. What is the probability they got the same numbers on their two balls?
Click here to see answer by Edwin McCravy(20054) |
Question 1058232: In a clinical trial of a cholesterol drug, 268 subjects were given a placebo, and 24% of them developed headaches. For such randomly selected groups of 268 subjects given a placebo, identify the values of n, p, and q that would be used
for finding the mean and standard deviation for the number of subjects who develop headaches.
The value of n is 268
The value of p is 0.24
(type an integer or a decimal.)
The value of q is 0.76
(type an integer or a decimal
Click here to see answer by Fombitz(32388) |
Question 1058040: A student writes a multiple-choice test consisting of 3 problems. the first one has 3 possible answers (of which one is correct); the second one has 5 possible answers (of which one is correct); the third has two possible answers (of which one is correct). The student chooses an answer randomly for each of the three problems.
a) find a sample space
b)find the distribution table of the r.v X representing the number of correct answers the student obtain,
c) compute E(X) and V(X)
d) Find e.d.f F(x) and graph it
Click here to see answer by Fombitz(32388) |
Question 1058461: 31% of adults would pay more for environmentally friendly products. You randomly select 10 adults. Find th eprobability that the number of adults who would pay more for environmentally friendly products is (a) exactly two, (b) more than two (c) between two and five, inclusive
Click here to see answer by stanbon(75887) |
Question 1058505: Toyota provides an opinion of a sunroof and side airbag package for its corolla model. This package cost $1400 (1159 invoice price). Assume that prior to offering this option, Toyota wants to determine the percentage of corolla buyers who would pay $1400 extra for the sunroof and side airbag. How many corolla buyers must be surveyed if we want to be 92% confident that the sample percentage is within four percentage points of the true percentage for all corolla buyers?
Click here to see answer by Boreal(15235) |
Question 1058518: The travel-to-work time for residents of the 22 largest cities in the United States is reported in the
2003 Information Please Almanac. Suppose that a preliminary simple random sample of residents
of San Francisco is used to develop a planning value of 5.95 minutes for the population standard
deviation.
a. If we want to estimate the population mean travel-to-work for San Francisco residents with a
margin of error of 2 minutes, what sample size should be used? Assume 95% confidence.
b. If we want to estimate the population mean travel-to-work for San Francisco residents with a
margin of error of 30 seconds, what sample size should be used? Assume 99% confidence.
Click here to see answer by stanbon(75887) |
Question 1058526: Q.1 A biased die is rolled 500 times and the number 6 came up 83 times.
a) What is the experimental probability of a 6 occurring?
b) What are the odds of the number 6 coming up in this experiment?
c) If the odds that a three will come up 12 times in 72 rolls of a die, what is probability that a three would come up ?
Q.2 Below are 2 boxes with black and white marbles.
BOX 1 HAS 1 BLACK AND 2 WHITE MARBLES
BOX 2 HAS 3 BLACK AND 1 WHITE MARBLES
A box is selected and then a marble is drawn from the
selected box. Draw a tree diagram to and indicate on the diagram where you would find the
probability of selecting black marble given it came from box 2.
Q.3 Determine if each pair of events are dependent or independent.
A. Event A: making a 10 foot putt.
Event B: making another 10 foot putt.
B. Event A: high surf
Event B: windy conditions offshore.
C. Event A: choosing a King from a deck of cards and replacing it.
Event B: then choosing a King.
D. Event A: flipping a coin and landing tails up in British Columbia.
Event B: flipping a coin and landing heads up in Alberta.
Q.4 Determine if each pair of events are mutually exclusive or not mutually exclusive.
A. Event A: selecting a spade from a standard deck of cards.
Event B: selecting a red card from a standard deck of cards.
B. Event A: selecting the queen of clubs from a standard deck of cards.
Event B: selecting a black queen from a standard deck of cards.
C. A pair of dice is rolled.
Event A: the sum of the two dice is 8.
Event B: the two dice are a pair.
D. A pair of dice is rolled.
Event A: the sum of the two dice is 3
Event B: the two dice are a pair.
Click here to see answer by ikleyn(52750) |
Question 1058526: Q.1 A biased die is rolled 500 times and the number 6 came up 83 times.
a) What is the experimental probability of a 6 occurring?
b) What are the odds of the number 6 coming up in this experiment?
c) If the odds that a three will come up 12 times in 72 rolls of a die, what is probability that a three would come up ?
Q.2 Below are 2 boxes with black and white marbles.
BOX 1 HAS 1 BLACK AND 2 WHITE MARBLES
BOX 2 HAS 3 BLACK AND 1 WHITE MARBLES
A box is selected and then a marble is drawn from the
selected box. Draw a tree diagram to and indicate on the diagram where you would find the
probability of selecting black marble given it came from box 2.
Q.3 Determine if each pair of events are dependent or independent.
A. Event A: making a 10 foot putt.
Event B: making another 10 foot putt.
B. Event A: high surf
Event B: windy conditions offshore.
C. Event A: choosing a King from a deck of cards and replacing it.
Event B: then choosing a King.
D. Event A: flipping a coin and landing tails up in British Columbia.
Event B: flipping a coin and landing heads up in Alberta.
Q.4 Determine if each pair of events are mutually exclusive or not mutually exclusive.
A. Event A: selecting a spade from a standard deck of cards.
Event B: selecting a red card from a standard deck of cards.
B. Event A: selecting the queen of clubs from a standard deck of cards.
Event B: selecting a black queen from a standard deck of cards.
C. A pair of dice is rolled.
Event A: the sum of the two dice is 8.
Event B: the two dice are a pair.
D. A pair of dice is rolled.
Event A: the sum of the two dice is 3
Event B: the two dice are a pair.
Click here to see answer by Boreal(15235) |
Question 1058503: Brian runs a factory that makes Blu-ray players. Each S100 takes 6 ounces of plastic and 4 ounces of metal. Each D200 requires 3 ounces of plastic and 8 ounces of metal. The factory has 300 ounces of plastic, 608 ounces of metal available, with a maximum of 22 S100 that can be built each week. If each S100 generates $10 in profit, and each D200 generates $2, how many of each of the Blu-ray players should Brian have the factory make each week to make the most profit?
S100:
D200:
Best profit:
Click here to see answer by ikleyn(52750) |
Question 1058515: Phone calls arrive at the rate of 48 per hour at the reservation desk for Regional Airways.
a. Compute the probability of receiving four calls in a 10-minute interval of time.
b. Compute the probability of receiving exactly 12 calls in 20 minutes.
c. Suppose, no calls are currently on hold. If the agent takes 5 minutes to complete the current
call, how many callers do you expect to be waiting by that time? What is the probability that
none will be waiting?
d. If no calls are currently being processed, what is the probability that the agent can take 3 minutes
for personal time without being interrupted by a call?
Click here to see answer by Boreal(15235) |
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